FGA (Fondements de la géométrie algébrique)
E886802
FGA (Fondements de la géométrie algébrique) is a foundational collection of Alexander Grothendieck’s seminar expositions that systematically developed modern algebraic geometry, including major results such as the Grothendieck–Riemann–Roch theorem.
All labels observed (1)
| Label | Occurrences |
|---|---|
| FGA (Fondements de la géométrie algébrique) canonical | 1 |
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical text
ⓘ
seminar proceedings ⓘ work in algebraic geometry ⓘ |
| abbreviation | FGA NERFINISHED ⓘ |
| author | Alexander Grothendieck NERFINISHED ⓘ |
| containsResult |
Grothendieck–Riemann–Roch theorem
NERFINISHED
ⓘ
Grothendieck’s formulation of the Riemann–Roch theorem ⓘ existence of fibered products in schemes ⓘ foundations of the theory of Hilbert schemes ⓘ foundations of the theory of Picard schemes ⓘ foundations of the theory of algebraic spaces ⓘ foundations of the theory of base change ⓘ foundations of the theory of coherent sheaves ⓘ foundations of the theory of descent ⓘ foundations of the theory of direct images NERFINISHED ⓘ foundations of the theory of formal schemes ⓘ foundations of the theory of inverse images ⓘ foundations of the theory of moduli functors NERFINISHED ⓘ foundations of the theory of morphisms of schemes ⓘ foundations of the theory of representable functors ⓘ foundations of the theory of schemes NERFINISHED ⓘ relative point of view in algebraic geometry ⓘ theory of flatness in algebraic geometry ⓘ use of categories and functors in algebraic geometry ⓘ |
| develops |
functorial viewpoint in algebraic geometry
ⓘ
relative viewpoint in algebraic geometry ⓘ |
| field | algebraic geometry ⓘ |
| hasAuthor | Alexander Grothendieck NERFINISHED ⓘ |
| influenced |
modern scheme-theoretic algebraic geometry
ⓘ
Éléments de géométrie algébrique NERFINISHED ⓘ |
| isFoundationFor | Grothendieck school of algebraic geometry NERFINISHED ⓘ |
| language | French ⓘ |
| period | 20th-century mathematics ⓘ |
| title | Fondements de la géométrie algébrique NERFINISHED ⓘ |
| topic |
Hilbert schemes
NERFINISHED
ⓘ
Picard schemes NERFINISHED ⓘ algebraic spaces ⓘ base change ⓘ coherent sheaves ⓘ descent theory ⓘ direct image functors ⓘ flat morphisms ⓘ formal schemes ⓘ inverse image functors ⓘ moduli problems ⓘ representable functors ⓘ schemes ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.